Sciweavers

174 search results - page 2 / 35
» Dispersion in Unit Disks
Sort
View
WG
2004
Springer
13 years 11 months ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern
STOC
1996
ACM
95views Algorithms» more  STOC 1996»
13 years 10 months ago
Pushing Disks Together - The Continuous-Motion Case
If disks are moved so that each center
Marshall W. Bern, Amit Sahai
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
13 years 9 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
CORR
2006
Springer
134views Education» more  CORR 2006»
13 years 6 months ago
Max-Cut and Max-Bisection are NP-hard on unit disk graphs
We prove that the max-cut and max-bisection problems are NP-hard on unit disk graphs. We also show that -precision graphs are planar for > 1/ 2 and give a dichotomy theorem f...
Josep Díaz, Marcin Kaminski
WG
2010
Springer
13 years 4 months ago
The Number of Bits Needed to Represent a Unit Disk Graph
We prove that for sufficiently large n, there exist unit disk graphs on n vertices such that for every representation with disks in the plane at least c √ n bits are needed to wr...
Colin McDiarmid, Tobias Müller